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A Prime number is a number only divisible by 1 and itself, since nothing else goes into 2 but 1 and 2 and nothing goes into 3 but 1 and 3 they are both prime and since 3 goes after 2 they are consecutive

And they are the ONLY consecutive prime numbers because if you have one prime number (i.e. 29), then there always is an even number right after the prime number (i.e. 30 comes right after 29), and consecutive means "right next to," right? And we all know that even numbers can always be divided in half, so 2 and 3 are the only consecutive prime numbers.
1 is not a prime so that (1,2) is not a pair of consecutive integers that are prime. So, if there is another opair of consecutive numbers that are prime, they must be larger than (2,3) - ie the smaller of the pair must be greater than 2.

Now any pair of consecutive numbers must have one odd and one even number. Therefore, the candidate pair must contain an even number which is greater than 2. But all even numbers greater than 2 are divisible by 2 and so are composite (non-prime). So every such candidate pair contains an odd number which may or may not be prime, and an even number which is definitely not a prime.

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โˆ™ 2011-03-19 20:06:07
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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

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Q: Why are 2 and 3 consecutive prime numbers?
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Related questions

What are consecutive prime numbers?

2 and 3 are consecutive prime numbers.


How are 2 and 3 consecutive prime numbers?

2 and 3 are consecutive numbers and they are both prime.


How do you get consecutive prime numbers?

The only consecutive prime numbers are 2 and 3.


What are pair of consecutive prime numbers?

2 and 3 are consecutive numbers that are prime.


What are prime consecutive numbers?

2 and 3 are the only example of consecutive prime numbers.


What does consecutive prime numbers mean?

2 and 3 are the only consecutive prime numbers.


What are all the pairs of prime numbers that are consecutive numbers?

The numbers 2 and 3 are consecutive prime numbers. Are there other pairs of prime numbers which are consecutive numbers?


What are two consecutive prime numbers called?

2 and 3 are the only consecutive numbers that are prime.


What are All the consecutive prime numbers to 100?

2 and 3 are the only consecutive numbers that are prime.


What is a consecutive prime numbers?

2 and 3.


What are the consecutive prime numbers?

2 and 3


2 and 3 can consecutive whole number prime number?

Yes, 2 and 3 are consecutive prime numbers.


Why cant 2 and 3 be two consecutive whole numbers be prime numbers?

2 and 3 are prime numbers.


What consecutive whole numbers be prime numbers?

2 and 3.


What are consecutive primes?

2 and 3 are the only consecutive prime numbers.


What is a consecutive primes?

2 and 3 are the only consecutive numbers that are prime.


Why can't two consecutive whole numbers be prime?

In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.


Other that 2 and 3 can two numbers be prime numbers?

2 and 3 are the only consecutive integers that are prime numbers.


What one-digit number is the product of two consecutive prime numbers?

There are only two prime numbers that are consecutive numbers, 2 and 3. Their product is 2 x 3 = 6. The first prime numbers are 2, 3, 5, and 7 and the only two consecutive prime numbers whose product is a single digit are 2 and 3. (The next two consecutive prime numbers, 3 and 5, have a two-digit product.)


What are two consecutive prime numbers?

2 and 3


How many consecutive prime number are there in 100?

2 and 3 are the only consecutive prime numbers.


Is it possible that 3 consecutive whole numbers be prime factors?

No. Because 2 are consecutive to 3.


Give you two prime numbers that are consecutive counting numbers?

2 and 3


What is a consecutive prime number?

Consecutive prime numbers are 2 integers that differ by 1 and are both prime. Since 2 is the only even prime, 2 and 3 are the only consecutive primes.


Can two consecutive whole numbers whole numbers be prime?

The only two consecutive whole numbers that are prime numbers are 2 and 3. Otherwise, every second consecutive whole number in sequence is even, and being multiples of 2, they cannot be prime.

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